Help plz

$7\frac{7}{9} + 2\frac{1}{9} \\~\\ = 7 + \frac{7}{9} + 2 + \frac{1}{9} \\~\\ = 7 + 2 + \frac{7}{9} + \frac{1}{9} \\~\\ = 9 + \frac{8}{9} \\~\\ = 9 \frac{8}{9}$

I hope this made sense :)